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Finding the Fourth Proportional to 3,220.02, 4,443.64 and 1,822.74

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Solution

The fourth proportional to 3,220.02, 4,443.64 and 1,822.74 is: 2,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.02 : 4,443.64 = 1,822.74 : x
  2. Step 2: Convert to fraction form
    3,220.02/4,443.64 = 1,822.74/x
  3. Step 3: Cross multiply
    3,220.02x = 4,443.64 × 1,822.74
  4. Step 4: Simplify right side
    3,220.02x = 8,099,600.37
  5. Step 5: Solve for x
    x = 8,099,600.37/3,220.02
  6. Step 6: Final answer
    x = 2,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.